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Finding the Fourth Proportional to 7,002.42, 9,668.07 and 4,353.90

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Solution

The fourth proportional to 7,002.42, 9,668.07 and 4,353.90 is: 6,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.42 : 9,668.07 = 4,353.90 : x
  2. Step 2: Convert to fraction form
    7,002.42/9,668.07 = 4,353.90/x
  3. Step 3: Cross multiply
    7,002.42x = 9,668.07 × 4,353.90
  4. Step 4: Simplify right side
    7,002.42x = 42,093,809.97
  5. Step 5: Solve for x
    x = 42,093,809.97/7,002.42
  6. Step 6: Final answer
    x = 6,011.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.